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# NCERT Solutions for Class 6 Maths Exercise 5.6

NCERT solutions for Maths Understanding elementary ## NCERT Solutions for Class 6 Maths Understanding elementary

###### Question 1.Name the types of following triangles:

(a)Triangle with lengths of sides 7 cm, 8 cm and 9 cm.

(b){tex}\Delta {\text{ABC}}{/tex} with AB = 8.7 cm, AC = 7 cm and BC = 6 cm.

(c){tex}\Delta {/tex}PQR such that PQ = QR = PR = 5 cm.

(d){tex}\Delta {/tex}DEF with {tex}m\angle {/tex}D = {tex}{90^ \circ }{/tex}

(e){tex}\Delta {/tex}XYZ with {tex}m\angle {/tex}Y = {tex}{90^ \circ }{/tex} and XY = YZ

(f){tex}\Delta {/tex}LMN with {tex}m\angle {/tex}L = {tex}{30^ \circ },{/tex}{tex}m\angle {/tex}M = {tex}{70^ \circ }{/tex} and {tex}m\angle {/tex}N = {tex}{80^ \circ }.{/tex}

(a) Scalene triangle

(b) Scalene triangle

(c) Equilateral triangle

(d) Right-angled triangle

(e) Isosceles right-angled triangle

(f) Acute-angled triangle

NCERT Solutions for Class 6 Maths Exercise 5.6

###### Question 2.Match the following:
 Measure of Triangle Types of Triangle (i)3 sides of equal length (a) Scalene (ii) 2 sides of equal length (b) Isosceles right angle (iii) All sides are of different length (c) Obtuse angle (iv) 3 acute angles (d) Right angle (v) 1 right angle (e) Equilateral (vi) 1 obtuse angle (f) Acute angle (vii) 1 right angle with two sidesof equal length (g) Isosceles

Answer: (i) {tex} \to {/tex} (e), (ii) {tex} \to {/tex} (g), (iii) {tex} \to {/tex} (a), (iv) {tex} \to {/tex} (f), (v) {tex} \to {/tex} (d), (vi) {tex} \to {/tex} (c), (vii) {tex} \to {/tex} (b)

###### Question 3.Name each of the following triangles in two different ways: (You may judge the nature of angle by observation) (a) Acute angled triangle and Isosceles triangle

(b) Right-angled triangle and Scalene triangle

(c) Obtuse-angled triangle and Isosceles triangle

(d) Right-angled triangle and Isosceles triangle

(e) Equilateral triangle and acute angled triangle

(f) Obtuse-angled triangle and scalene triangle

NCERT Solutions for Class 6 Maths Exercise 5.6

###### Question 4.Try to construct triangles using match sticks. Some are shown here. Can you make a triangle with:

(a)3 matchsticks?

(b)4 matchsticks?

(c)5 matchsticks?

(d)6 matchsticks?

(Remember you have to use all the available matchsticks in each case)

If you cannot make a triangle, think of reasons for it.

(a) 3 matchsticks

This is an acute angle triangle and it is possible with 3 matchsticks to make a triangle because sum of two sides is greater than third side. (b) 4 matchsticks

This is a square, hence with four matchsticks we cannot make triangle. (c) 5 matchsticks

This is an acute angle triangle and it is possible to make triangle with five matchsticks, in this case sum of two sides is greater than third side. (d) 6 matchsticks

This is an acute angle triangle and it is possible to make a triangle with the help of 6 matchsticks because sum of two sides is greater than third side. ## NCERT Solutions for Class 6 Maths Exercise 5.6

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